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Finding the Fourth Proportional to 20,242.88, 30,370.08 and 14,382.08

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Solution

The fourth proportional to 20,242.88, 30,370.08 and 14,382.08 is: 21,577.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,242.88 : 30,370.08 = 14,382.08 : x
  2. Step 2: Convert to fraction form
    20,242.88/30,370.08 = 14,382.08/x
  3. Step 3: Cross multiply
    20,242.88x = 30,370.08 × 14,382.08
  4. Step 4: Simplify right side
    20,242.88x = 436,784,920.17
  5. Step 5: Solve for x
    x = 436,784,920.17/20,242.88
  6. Step 6: Final answer
    x = 21,577.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.